Asymptotic expansion of the heat kernel trace of Laplacians with polynomial potentials

DOI10.1007/s11005-018-1086-8zbMath1402.35133arXiv1804.05407OpenAlexW2796722793WikidataQ129931719 ScholiaQ129931719MaRDI QIDQ1620900

Guglielmo Fucci

Publication date: 14 November 2018

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05407

zbMATH Keywords

asymptotic expansionSchrödinger operatorheat kernelharmonic oscillatorsemiclassical techniquesoperators in quantum field theory

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Heat kernel (35K08) Special quantum systems, such as solvable systems (81Q80)

Related Items

High energy asymptotics for the perturbed anharmonic oscillator ⋮ Exact and approximate energy sums in potential wells ⋮ Witten deformation on non-compact manifolds: heat kernel expansion and local index theorem

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